Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. The durations (in minutes) of power failures at a residence in the last 3 years are listed below. 65 53 38 45 65 24 119 15 119 85 What is the mean duration? Select the correct choice below and fill in any answer box to complete your choice. OA. The mean duration is minutes. (Round to one decimal place as needed.). OB. There is no mean score.
Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. The durations (in minutes) of power failures at a residence in the last 3 years are listed below. 65 53 38 45 65 24 119 15 119 85 What is the mean duration? Select the correct choice below and fill in any answer box to complete your choice. OA. The mean duration is minutes. (Round to one decimal place as needed.). OB. There is no mean score.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
![### Statistical Measures for Power Failure Durations
**Objective:** Determine the mean, median, and mode of the given data set, and explain if any measures cannot be found or do not represent the center of the data.
**Data:**
The durations (in minutes) of power failures at a residence over the last 3 years are as follows:
65, 53, 38, 45, 65, 24, 119, 15, 119, 85
#### Calculation Tasks:
1. **Find the mean duration**:
- Sum all the data points.
- Divide the total sum by the number of data points.
- Round to one decimal place if necessary.
\[
\text{Mean} = \frac{\sum \text{durations}}{\text{number of durations}}
\]
2. **Find the median duration**:
- Organize the data points in ascending order.
- If the number of data points is odd, the median is the middle number.
- If the number of data points is even, the median is the average of the two middle numbers.
3. **Find the mode duration**:
- Identify the number(s) that appear most frequently in the data set.
If a measure (mean, median, or mode) cannot be found or does not represent the center of the data, an explanation will be provided.
#### Multiple Choice Question:
**What is the mean duration?** Select the correct choice below and fill in any answer box to complete your choice.
- ☐ A. The mean duration is \( \underline{\hspace{2cm}} \) minutes.
(Round to one decimal place as needed.)
- ☐ B. There is no mean score.
---
By determining these measures, students will gain a better understanding of central tendency and variability within a data set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a2edb2f-7c78-40b5-b7fe-b2ef3d716529%2Ff42331f1-27ec-45f0-8143-8c45590759aa%2Fsz03nwb_processed.png&w=3840&q=75)
Transcribed Image Text:### Statistical Measures for Power Failure Durations
**Objective:** Determine the mean, median, and mode of the given data set, and explain if any measures cannot be found or do not represent the center of the data.
**Data:**
The durations (in minutes) of power failures at a residence over the last 3 years are as follows:
65, 53, 38, 45, 65, 24, 119, 15, 119, 85
#### Calculation Tasks:
1. **Find the mean duration**:
- Sum all the data points.
- Divide the total sum by the number of data points.
- Round to one decimal place if necessary.
\[
\text{Mean} = \frac{\sum \text{durations}}{\text{number of durations}}
\]
2. **Find the median duration**:
- Organize the data points in ascending order.
- If the number of data points is odd, the median is the middle number.
- If the number of data points is even, the median is the average of the two middle numbers.
3. **Find the mode duration**:
- Identify the number(s) that appear most frequently in the data set.
If a measure (mean, median, or mode) cannot be found or does not represent the center of the data, an explanation will be provided.
#### Multiple Choice Question:
**What is the mean duration?** Select the correct choice below and fill in any answer box to complete your choice.
- ☐ A. The mean duration is \( \underline{\hspace{2cm}} \) minutes.
(Round to one decimal place as needed.)
- ☐ B. There is no mean score.
---
By determining these measures, students will gain a better understanding of central tendency and variability within a data set.
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